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Ksenya-84 [330]
3 years ago
6

-4/9 multiplied by -5/8

Mathematics
1 answer:
svp [43]3 years ago
7 0
To multiply fractions, multiply the two numerators and then the two denominators together.

-4*-5=20
8*9=72

20/72=
10/36=
5/18

Final answer: 5/18
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If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.​
Alex73 [517]

Hi

7 = 14.70

15= X

so :  X =  15*14.70 /7 = 31.5

15 liters  of petrol cost  31.5

5 0
3 years ago
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Need help on geometry
Rama09 [41]
ASA, SAS, AAS,

if LA stands for leg-angle then you could do that too
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A.Write a polynomial to find the volume of the
Arturiano [62]

Answer:

hmmm 38

Step-by-step explanation:

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3 0
2 years ago
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
seraphim [82]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

4 0
3 years ago
What is the surface area of this triangular pyramid?
lidiya [134]

<em>48.25 in^2</em>

Step-by-step explanation:

The formula for the surface area of a pyramid is:

SA=B+\frac{1}{2}l(number of base sides)(b)

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.

A=\frac{1}{2}bh

A=.5*5*4.3

A = 10.75

Now we can plug in 10.75 for B.

SA=10.75+.5*5*3*5

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

SA=

48.25 in^2

8 0
3 years ago
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